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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫x2+x−1x2+x−6dx=\int \frac{x^2+x-1}{x^2+x-6} d x=
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Correct option: B
x−log⁡(x+3)+log⁡(x−2)+cx-\log (x+3)+\log (x-2)+c
Option B, x−log⁡(x+3)+log⁡(x−2)+cx-\log (x+3)+\log (x-2)+c, is the correct answer because it results from polynomial long division, partial fraction decomposition, and integration of the given expression.

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